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Abstract：
Pauli channels are fundamental in the context of quantum computing as they model the simplest kind of noise in quantum devices. We propose a quantum algorithm for simulating Pauli channels and extend it to encompass Pauli dynamical maps (parametrized Pauli channels). A parametrized quantum circuit is employed to accommodate for dynamical maps. We also establish the mathematical conditions for an N-qubit transformation to be achievable using a parametrized circuit where only one single-qubit operation depends on the parameter. The implementation of the proposed circuit is demonstrated using IBM\'s quantum computers for the case of one qubit, and the fidelity of this implementation is reported.
摘要：
Pauli通道是量子计算的基础，因为它们模拟了量子设备中最简单的噪声。我们提出了一种用于模拟Pauli通道的量子算法，并将其扩展为包含Pauli动态映射（参数化Pauli通道）。采用参数化的量子电路来适应动态映射。我们还建立了使用参数化电路可以实现N量子位变换的数学条件，其中只有一个单量子位操作取决于参数。在一个量子位的情况下，使用IBM的量子计算机演示了所提出的电路的实现，并报告此实现的保真度。
